Use Properties of Logarithms or a Definition to Simplify the Expression

question 103

Multiple Choice

Use properties of logarithms or a definition to simplify the expression. ​
If , find .
​

• A) 5
• B) 10
• D) 100,000
• E) 50

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Definitions:

Probabilities

Measures of how likely it is for an event to occur, represented as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Mutually Exclusive

Refers to events that cannot occur at the same time in probability theory; the occurrence of one event means the other cannot happen.

P(A ∪ B)

The probability that at least one of two events A or B occurs.

Independent Events

Two or more events whose outcomes do not affect each other.